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Finding the Fourth Proportional to 3,348.54, 5,022 and 2,115.72

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Solution

The fourth proportional to 3,348.54, 5,022 and 2,115.72 is: 3,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.54 : 5,022 = 2,115.72 : x
  2. Step 2: Convert to fraction form
    3,348.54/5,022 = 2,115.72/x
  3. Step 3: Cross multiply
    3,348.54x = 5,022 × 2,115.72
  4. Step 4: Simplify right side
    3,348.54x = 10,625,145.84
  5. Step 5: Solve for x
    x = 10,625,145.84/3,348.54
  6. Step 6: Final answer
    x = 3,173.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.